I'll echo what @Christal Warren said. If you're living overseas, have you considered buying into a multi-family syndication?
As far as market analysis, look for:
- Good unemployment numbers, dropping unemployment rate.
- Increasing population over the past five years.
- Population growth in the demographic you're targeting. Wouldn't do to invest in a property best suited for people aged 55+ if that population is declining.
- Job diversity. If the city you're investing in is heavily dependent on one type of industry (tourism, manufacturing or retail) and the economy turns, you could find quality residents in short supply. See Las Vegas in 2009, the city's economy was heavily dependent on tourism and construction. The double shock of the housing crisis and the Great Recession hit the city harder than most.
- Diverse employer base. Is the locale heavily dependent on one or two employers? What happens if that employer decides to move their operation.
- Vacancy rate. What's the trend on vacancy rate in the community?
- City government health. Is the city investing in infrastructure? It's a good sign things are going well if they are.